Heesch Numbers of Edge-Marked Polyforms

DOI10.1080/10586458.2015.1096867zbMath1350.52011OpenAlexW2296088710MaRDI QIDQ2815498

Casey Mann, B. Charles Thomas

Publication date: 29 June 2016

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10586458.2015.1096867

zbMATH Keywords

coronatilingHeesch numberpolyformcombinatorial imbalancehexacapillarpolypillar

Mathematics Subject Classification ID

Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Related Items

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Cites Work

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• Pentaplexity. A class of non-periodic tilings of the plane
• An infinite number of plane figures with Heesch number two
• A small aperiodic set of planar tiles
• Planar tilings by polyominoes, polyhexes, and polyiamonds
• Forcing nonperiodicity with a single tile
• Undecidability and nonperiodicity for tilings of the plane
• Heesch's Tiling Problem